Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Asymptotic behaviour
of Castelnuovo-Mumford regularity

Author: Vijay Kodiyalam
Journal: Proc. Amer. Math. Soc. 128 (2000), 407-411
MSC (1991): Primary 13D02; Secondary 13D40
Published electronically: July 6, 1999
MathSciNet review: 1621961
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $S$ be a polynomial ring over a field. For a graded $S$-module generated in degree at most $P$, the Castelnuovo-Mumford regularity of each of (i) its $n^{\operatorname{th}}$ symmetric power, (ii) its $n^{\operatorname{th}}$ torsion-free symmetric power and (iii) the integral closure of its $n^{\operatorname{th}}$ torsion-free symmetric power is bounded above by a linear function in $n$ with leading coefficient at most $P$. For a graded ideal $I$ of $S$, the regularity of $I^{n}$ is given by a linear function of $n$ for all sufficiently large $n$. The leading coefficient of this function is identified.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 13D02, 13D40

Retrieve articles in all journals with MSC (1991): 13D02, 13D40

Additional Information

Vijay Kodiyalam
Affiliation: The Institute of Mathematical Sciences, Chennai, India 600113

PII: S 0002-9939(99)05020-0
Received by editor(s): October 28, 1997
Received by editor(s) in revised form: April 15, 1998
Published electronically: July 6, 1999
Communicated by: Wolmer V. Vasconcelos
Article copyright: © Copyright 1999 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia